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artcher [175]
3 years ago
10

How many distinct triangles can be drawn using three of the dots below as vertices?

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

18

Step-by-step explanation:

There are 6 dots.  The number of ways we can select 3 from 6 is:

₆C₃ = 6! / (3! (6−3)!)

₆C₃ = 6! / (3! 3!)

₆C₃ = 6×5×4 / (3×2×1)

₆C₃ = 20

However, 2 of these combinations are lines, not triangles.

So there are 18 possible distinct triangles.

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Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and nature of
Juli2301 [7.4K]

We know that imaginary roots always come in pairs, so we already know 4 solutions

-2, 2, 4 + i and a pair of 4 + i

Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots

So for sure, we will have 3 real roots and 2 imaginary roots

Last option, f(x) has three real roots and two imaginary roots

3 0
4 years ago
What is the distance between point A and point C?
love history [14]

Answer:where's the question

Explanation:(pls dont report me as soon as u show me the question i will edit my answer and answer correctly)

7 0
3 years ago
The mathematics faculty at a college consists of 9 professors, 8 associate professors, 10 assistant professors, and 10 instructo
Reika [66]

Answer:

19/37

Step-by-step explanation:

The mathematics faculty at a college consists of 9 professors, 8 associate professors, 10 assistant professors, and 10 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor

Total number of people in the faculty =

9 professors + 8 associate professors+ 10 assistant professors+ 10 instructors

= 37 people

Hence,

The probability of choosing a professor or an instructor

= P( Professor) + P( Instructor)

= 9/37 + 10/37

= 19/37

6 0
3 years ago
Lines a and b are perpendicular. The equation of line a is y=13x+3. What is the equation of line b?
Harlamova29_29 [7]
Any equation that includes y=1/13x.

m must be 1/13
3 0
4 years ago
What is the area? I need the answer now​
Tpy6a [65]

Answer:

192

Step-by-step explanation:

treat them as two rectangles. So take the first and you see that its 8 by 12, so 8 times 12, which equals 96. then look at the other rectangle. Its the same so do the same thing 8 times 12 equals 96. then add the totals to find the area. 96+96=192

3 0
4 years ago
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